EXISTENCE OF S-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS FOR ABSTRACT NEUTRAL EQUATIONS

By Hernán R. Henríquez, Michelle Pierri, P. Táboas. Bulletin of the Australian Mathematical Society, 2008

77 citations recorded by the source corpus.

Abstract A bounded continuous function $u:[0,\infty )\to X$ is said to be S-asymptotically ω-periodic if $ \lim _{t\to \infty }[ u(t+\omega ) -u(t)]=0$. This paper is devoted to study the existence and qualitative properties of S-asymptotically ω-periodic mild solutions for some classes of abstract neutral functional differential equations with infinite delay. Furthermore, applications to partial differential equations are given.

Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/25f11739c0b347b2015379b51747f1c01e8b7f09

Citations in the corpus

• Bounded Mild Solutions for Semilinear Integro Differential Equations in Banach Spaces (2010, unknown): “1] and implicitly before in [26].”
• Mild solutions for abstract fractional differential equations (2013, unknown): “([16, 17]) A function f ∈ BC(R+, X) is called asymptotically ω-periodic for ω > 0 if there exist an ω-periodic function φ and and a h ∈ BC(R+, X) with limt→∞ h(t) = 0 such that f = φ+ h.”